##### Simplify Term 1

4^1/2

Simplify the rational exponent:

41/2

##### Analyze Fractional Exponent:

ab/c = (ca)b

Take the cth root of a
Then raise that to the power of b

In this case, a = 4, b = 1, and c = 2

##### Evaluate the 2 root of 4:

4 = 2 since 22 = 4

##### Raise this value to the power of 1:

Therefore, we can write 41/2 = 2

##### Simplify Term 2

4^5/2

Simplify the rational exponent:

45/2

##### Analyze Fractional Exponent:

ab/c = (ca)b

Take the cth root of a
Then raise that to the power of b

In this case, a = 4, b = 5, and c = 2

##### Evaluate the 2 root of 4:

4 = 2 since 22 = 4

##### Raise this value to the power of 5:

Therefore, we can write 45/2 = 32

##### Finalize our product of rational exponents:

41/2 x 45/2 = 2 x 32

41/2 x 45/2 = 64

45/2 = 32

45/2 = 32
##### How does the Rational Exponents - Fractional Indices Calculator work?
Free Rational Exponents - Fractional Indices Calculator - This calculator evaluates and simplifies a rational exponent expression in the form ab/c where a is any integer or any variable [a-z] while b and c are integers. Also evaluates the product of rational exponents
This calculator has 1 input.

### What 1 formula is used for the Rational Exponents - Fractional Indices Calculator?

ab/c = (ca)b

For more math formulas, check out our Formula Dossier

### What 4 concepts are covered in the Rational Exponents - Fractional Indices Calculator?

exponent
The power to raise a number
rational
rational exponents - fractional indices
simplify
reducing the expression/fraction/problem in a simpler form.